Exponential integrators represent an innovative class of numerical methods designed to address the challenges posed by stiff differential equations. By incorporating the matrix exponential to treat ...
PyOdys is a robust and flexible Python package for solving ordinary differential equations (ODEs) of the form: $$ M(t, y)\frac{dy}{dt} = F(t, y). $$. Adaptive Time ...
a various numerical methods for solving ode's and machine-learning schemes . This notebook implements and compares five numerical methods for solving systems of ordinary differential equations (ODEs) ...
Abstract: Vector analysis is a mathematical concept powerful enough to represent various theories, notions, and concepts under engineering and physics. This project focuses on specific operations in ...
Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...
Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...
My research interests are in applied and computational mathematics. I am interested in developing and analyzing high-order numerical methods for solving partial differential equations and fractional ...
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